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Finding the Fourth Proportional to 71,847.54, 107,771.31 and 21,927.90

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Solution

The fourth proportional to 71,847.54, 107,771.31 and 21,927.90 is: 32,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,847.54 : 107,771.31 = 21,927.90 : x
  2. Step 2: Convert to fraction form
    71,847.54/107,771.31 = 21,927.90/x
  3. Step 3: Cross multiply
    71,847.54x = 107,771.31 × 21,927.90
  4. Step 4: Simplify right side
    71,847.54x = 2,363,198,508.55
  5. Step 5: Solve for x
    x = 2,363,198,508.55/71,847.54
  6. Step 6: Final answer
    x = 32,891.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.